Question

(4x-1)^1/4 = (2x-3)^1/4

Answer 1

${(4x - 1)}^{ \frac{1}{4} } = {(2x - 3)}^{ \frac{1}{4} } \\ \\ 4x - 1 = 2x - 3 \\ 4x - 2x = - 3 + 1 \\ \: \: \: \: \: \: \: \: \: 2x = - 2 \\ { \boxed{\: \: \: \: \: \: \: \: \: \: \: x = - 1}}$

Answer 2

Answer:

x=-1

Step-by-step explanation:

$\sqrt[4]{4x - 1} = \sqrt[4]{2x - 3} \\ ( \sqrt[4]{4x - 1 } ) {}^{4} = ( \sqrt[4]{2x - 3} ) {}^{4} \\ 4x - 1 = 2x - 3 \\ 4x - 2x = - 3 + 1 \\ 2x = - 2 \\ x = \frac{ - 2}{2} \\ x = - 1$